CNA Working Group: Mathematical Fluid Dynamics

Organisers: Gautam Iyer, Bob Pego, Nicholas Leger

This working group will run in Fall 2012. We usually meet on Tuesdays at 2:30PM in WEH 7218 at 2:30PM, unless otherwise noted. Please subscribe to the mailing list here.

Schedule and Topics

• Nicholas Leger, Vanishing viscosity. References: Kato; Wang; Kelliher. (See also Bardos, Titi; Iftimie, Planas; Masmoudi, Rousset.)
• Bill Layton, Turbulence, Shell Models, LES.
• Ryan Murray Kolmogorov's Theory of Turbulence and an Inviscid Limit. References: Chen-Glim.
• Xiang Xu, Compressible fluids, existence and blow up. References: Sideris; Lei, Du, Zhang; Feireisl, Novotný, Petzeltová; DiPerna, Lions.
• Bob Pego, Stokes pressure and extended Navier-Stokes dynamics - a news update References: Johnston, Liu; Liu, Liu, Pego; Iyer, Pego, Zarnescu.
• Noel Walkington Fluids with Microstructure (Construction of Stable Numerical Schemes.) Slides. References: Walkington.
• Ian Tice Fluid-solid interaction: global existence of weak solutions. Notes. References: Feireisl; Gunzburger, Lee, Seregin; Sueur.
• Marco Morandotti, Swimming in Viscous Flows. References: Alouges, DeSimone, Lefebvre; Dal Maso, DeSimone, Morandotti; Najafi, Golestanian; Purcell.

Other References and Review Papers

• Bardos, Titi, Euler equations for incompressible ideal fluids.
• Constantin, On the Euler equations of incompressible fluids, Singular, weak and absent: solutions of the Euler equations..
• Majda, Bertozzi (book) Vorticity and incompressible flow.